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3320038029 = 371147597173
BaseRepresentation
bin1100010111100011…
…1100001010001101
322120101020101222110
43011320330022031
523244412204104
61305235534233
7145162600110
oct30570741215
98511211873
103320038029
111454090790
12787a5a379
1340baa9b59
14236d14577
1514670ee89
hexc5e3c28d

3320038029 has 128 divisors (see below), whose sum is σ = 5892341760. Its totient is φ = 1613606400.

The previous prime is 3320038019. The next prime is 3320038039. The reversal of 3320038029 is 9208300233.

3320038029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3320038019) and next prime (3320038039).

It is not a de Polignac number, because 3320038029 - 24 = 3320038013 is a prime.

It is a super-2 number, since 2×33200380292 = 22045305028012409682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3320037987 and 3320038005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320038019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45479937 + ... + 45480009.

It is an arithmetic number, because the mean of its divisors is an integer number (46033920).

Almost surely, 23320038029 is an apocalyptic number.

It is an amenable number.

3320038029 is a deficient number, since it is larger than the sum of its proper divisors (2572303731).

3320038029 is a wasteful number, since it uses less digits than its factorization.

3320038029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3320038029 is about 57619.7711640718. The cubic root of 3320038029 is about 1491.8128811340.

The spelling of 3320038029 in words is "three billion, three hundred twenty million, thirty-eight thousand, twenty-nine".

Divisors: 1 3 7 11 21 33 47 59 71 73 77 141 177 213 219 231 329 413 497 511 517 649 781 803 987 1239 1491 1533 1551 1947 2343 2409 2773 3337 3431 3619 4189 4307 4543 5183 5467 5621 8319 10011 10293 10857 12567 12921 13629 15549 16401 16863 19411 23359 24017 29323 30149 30503 36281 36707 37741 46079 47377 57013 58233 70077 72051 87969 90447 91509 108843 110121 113223 138237 142131 171039 196883 202429 213521 243601 256949 264187 305797 322553 331639 399091 590649 607287 640563 730803 770847 792561 917391 967659 994917 1197273 1378181 1417003 1705207 2140579 2165713 2226719 2679611 3363767 4134543 4251009 5115621 6421737 6497139 6680157 8038833 10091301 14372459 15159991 15587033 18757277 23546369 43117377 45479973 46761099 56271831 70639107 100607213 158097049 301821639 474291147 1106679343 3320038029